Search a number
-
+
5673222144 = 2153219237
BaseRepresentation
bin1010100100010011…
…01000000000000000
3112122101011112201200
411102021220000000
543104321102034
62334540501200
7260405410152
oct52211500000
915571145650
105673222144
112451427847
121123b4a800
136c54837a5
143bb668ad2
152330d9a99
hex152268000

5673222144 has 96 divisors (see below), whose sum is σ = 16389910290. Its totient is φ = 1890975744.

The previous prime is 5673222019. The next prime is 5673222151. The reversal of 5673222144 is 4412223765.

5673222144 is a `hidden beast` number, since 567 + 32 + 2 + 21 + 44 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5492588544 + 180633600 = 74112^2 + 13440^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5673222099 and 5673222108.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 285294 + ... + 304530.

Almost surely, 25673222144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5673222144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8194955145).

5673222144 is an abundant number, since it is smaller than the sum of its proper divisors (10716688146).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

5673222144 is an equidigital number, since it uses as much as digits as its factorization.

5673222144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19273 (or 19242 counting only the distinct ones).

The product of its digits is 80640, while the sum is 36.

The square root of 5673222144 is about 75320.7948975580. The cubic root of 5673222144 is about 1783.5143026838.

The spelling of 5673222144 in words is "five billion, six hundred seventy-three million, two hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 8192 9216 12288 16384 18432 19237 24576 32768 36864 38474 49152 57711 73728 76948 98304 115422 147456 153896 173133 230844 294912 307792 346266 461688 615584 692532 923376 1231168 1385064 1846752 2462336 2770128 3693504 4924672 5540256 7387008 9849344 11080512 14774016 19698688 22161024 29548032 39397376 44322048 59096064 78794752 88644096 118192128 157589504 177288192 236384256 315179008 354576384 472768512 630358016 709152768 945537024 1418305536 1891074048 2836611072 5673222144